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Finding the Fourth Proportional to 5,223.63, 7,835.45 and 1,760.88

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Solution

The fourth proportional to 5,223.63, 7,835.45 and 1,760.88 is: 2,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.63 : 7,835.45 = 1,760.88 : x
  2. Step 2: Convert to fraction form
    5,223.63/7,835.45 = 1,760.88/x
  3. Step 3: Cross multiply
    5,223.63x = 7,835.45 × 1,760.88
  4. Step 4: Simplify right side
    5,223.63x = 13,797,287.20
  5. Step 5: Solve for x
    x = 13,797,287.20/5,223.63
  6. Step 6: Final answer
    x = 2,641.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.